<p>You are given an integer array <code>prices</code> where <code>prices[i]</code> is the price of a given stock on the <code>i<sup>th</sup></code> day, and an integer <code>k</code>.</p> <p>Find the maximum profit you can achieve. You may complete at most <code>k</code> transactions.</p> <p><strong>Note:</strong> You may not engage in multiple transactions simultaneously (i.e., you must sell the stock before you buy again).</p> <p> </p> <p><strong>Example 1:</strong></p> <pre> <strong>Input:</strong> k = 2, prices = [2,4,1] <strong>Output:</strong> 2 <strong>Explanation:</strong> Buy on day 1 (price = 2) and sell on day 2 (price = 4), profit = 4-2 = 2. </pre> <p><strong>Example 2:</strong></p> <pre> <strong>Input:</strong> k = 2, prices = [3,2,6,5,0,3] <strong>Output:</strong> 7 <strong>Explanation:</strong> Buy on day 2 (price = 2) and sell on day 3 (price = 6), profit = 6-2 = 4. Then buy on day 5 (price = 0) and sell on day 6 (price = 3), profit = 3-0 = 3. </pre> <p> </p> <p><strong>Constraints:</strong></p> <ul> <li><code>0 <= k <= 100</code></li> <li><code>0 <= prices.length <= 1000</code></li> <li><code>0 <= prices[i] <= 1000</code></li> </ul>